We construct more dual pairs of type II heterotic strings in four dime
nsions with N = 2, 1 spacetime supersymmetry. On the type II side the
construction utilizes the various possible choices of K3 automorphisms
with fixed points which transform the holomorphic two-form nontrivial
ly, and rotation plus translation on T-2. The Calabi-Yau orbifolds so
obtained have non-zero Euler numbers, so quantum corrections exist on
the type IIA strings. The heterotic string (asymmetric) orbifold duals
are found which depend on going to the enhanced symmetry points. Some
aspects of the construction are discussed including the role of the s
ingularity and the possibility of going beyond the adiabatic argument.
Many of these examples have also orientifold analogs.